/* ** Math helper functions for assembler VM. ** Copyright (C) 2005-2022 Mike Pall. See Copyright Notice in luajit.h */ #define lj_vmmath_c #define LUA_CORE #include #include #include "lj_obj.h" #include "lj_ir.h" #include "lj_vm.h" /* -- Helper functions for generated machine code ------------------------- */ #if LJ_TARGET_X86ORX64 /* Wrapper functions to avoid linker issues on OSX. */ LJ_FUNCA double lj_vm_sinh(double x) { return sinh(x); } LJ_FUNCA double lj_vm_cosh(double x) { return cosh(x); } LJ_FUNCA double lj_vm_tanh(double x) { return tanh(x); } #endif #if !LJ_TARGET_X86ORX64 double lj_vm_foldarith(double x, double y, int op) { switch (op) { case IR_ADD - IR_ADD: return x+y; break; case IR_SUB - IR_ADD: return x-y; break; case IR_MUL - IR_ADD: return x*y; break; case IR_DIV - IR_ADD: return x/y; break; case IR_MOD - IR_ADD: return x-lj_vm_floor(x/y)*y; break; case IR_POW - IR_ADD: return pow(x, y); break; case IR_NEG - IR_ADD: return -x; break; case IR_ABS - IR_ADD: return fabs(x); break; #if LJ_HASJIT case IR_ATAN2 - IR_ADD: return atan2(x, y); break; case IR_LDEXP - IR_ADD: return ldexp(x, (int)y); break; case IR_MIN - IR_ADD: return x > y ? y : x; break; case IR_MAX - IR_ADD: return x < y ? y : x; break; #endif default: return x; } } #endif #if LJ_HASJIT #ifdef LUAJIT_NO_LOG2 double lj_vm_log2(double a) { return log(a) * 1.4426950408889634074; } #endif #ifdef LUAJIT_NO_EXP2 double lj_vm_exp2(double a) { return exp(a * 0.6931471805599453); } #endif #if !(LJ_TARGET_ARM || LJ_TARGET_PPC) int32_t LJ_FASTCALL lj_vm_modi(int32_t a, int32_t b) { uint32_t y, ua, ub; lua_assert(b != 0); /* This must be checked before using this function. */ ua = a < 0 ? ~(uint32_t)a+1u : (uint32_t)a; ub = b < 0 ? ~(uint32_t)b+1u : (uint32_t)b; y = ua % ub; if (y != 0 && (a^b) < 0) y = y - ub; if (((int32_t)y^b) < 0) y = ~y+1u; return (int32_t)y; } #endif #if !LJ_TARGET_X86ORX64 /* Unsigned x^k. */ static double lj_vm_powui(double x, uint32_t k) { double y; lua_assert(k != 0); for (; (k & 1) == 0; k >>= 1) x *= x; y = x; if ((k >>= 1) != 0) { for (;;) { x *= x; if (k == 1) break; if (k & 1) y *= x; k >>= 1; } y *= x; } return y; } /* Signed x^k. */ double lj_vm_powi(double x, int32_t k) { if (k > 1) return lj_vm_powui(x, (uint32_t)k); else if (k == 1) return x; else if (k == 0) return 1.0; else return 1.0 / lj_vm_powui(x, ~(uint32_t)k+1u); } /* Computes fpm(x) for extended math functions. */ double lj_vm_foldfpm(double x, int fpm) { switch (fpm) { case IRFPM_FLOOR: return lj_vm_floor(x); case IRFPM_CEIL: return lj_vm_ceil(x); case IRFPM_TRUNC: return lj_vm_trunc(x); case IRFPM_SQRT: return sqrt(x); case IRFPM_EXP: return exp(x); case IRFPM_EXP2: return lj_vm_exp2(x); case IRFPM_LOG: return log(x); case IRFPM_LOG2: return lj_vm_log2(x); case IRFPM_LOG10: return log10(x); case IRFPM_SIN: return sin(x); case IRFPM_COS: return cos(x); case IRFPM_TAN: return tan(x); default: lua_assert(0); } return 0; } #endif #if LJ_HASFFI int lj_vm_errno(void) { return errno; } #endif #endif